In this paper, a metamaterial based toroidal ferrite Phase shifter design algorithm has been introduced in X band. For the design of such a Phase shifter, first the MNG (negative μ ) ferrite core in extraordinary bias mode should be implemented. Then, the ENG (negative ε ) part composed of parallel metallized lines should be designed on a substrate board. Finally, the input and output port impedance matching could be accomplished by using two section dielectric step transformers layout using binomial tapering method. According to the simulation results, the closed toroidal ferrite core shape, has treated the main disadvantage of metamaterial waveguide Phase shifter’ s experimental bias complications, and it has reduced the amplitude of magnetic bias filed from the typical range of (6-7 kOe) to under the acceptable 100 Oe value, which could be achieved using a simple wire. Moreover, by introducing a new core structure and an impedance matching network in the proposed Phase shifter, the second main disadvantage of the metamaterial-based ferrite Phase shifter which is their high insertion loss, has decreased from 10 dB to 3. 2 dB.